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I recently checked the following two “real” products
and my fi ndings are:
1. In Germany, the scale of its basic map series
is 1: 5,000 and these maps are then used to produce
1: 25 k and/or 1: 50 k. At this scale for a “normal”
size map, the ellipsoidal area covered will be
around 2’ x 2’. This small size trapezoid
will have a “bulge” of about 20 cm
and thus, this ellipsoidal area will be 99.9999999..
% or 1 part in 30 million FLAT. The distortion
will be zero. This fl atness is PERFECT to make
distortion-free a KMap and/or KChart.
Challenge # 1: Why would any cartographer
would need Mercator or Lambert or Hotine or Polyconic
or any other projection to make this 2’
x 2’ size ellipsoidal trapezoid more fl
at? Instead, they distort more.
2. Here, I checked the REAL height data sets for
the ellipsoidal heights (h) and the orthometric
heights (H) for 11 States, viz., Washington, California,
Nevada, New Mexico, Arizona, Texas, Georgia, Tennessee,
Virginia, New York, and Kansas. The differences
between “ Δh” and “ ΔH”
for the 2’ x 2’ area covered by a
1: 5 k scale map were less than 2-3 cm and thus,
for Contour Interval (CI) even as small as 1 meter,
the ellipsoidal height contours will work perfectly.
Challenge # 2: Is there any expert mapmaker
who can prove this procedure wrong?
On 10th April 2005, I had a presentation on “KMap
System” in RK Puram, New Delhi, where the
eminent SOI and NHO experts, INCA’s distinguished
members, and ex-SOI galaxy of retired offi cers
were present. My new research of this conceptual
approach is more than “an interesting idea”.
I challenge all Indian cartographers to accept
the technique as the 21st century revolution for
making maps/charts thousands of time better than
the present distorted ones. Let anyone come forward
to prove that “It will not work”.
The future “quality” of India’s
DSMs and OSMs is at stake!
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